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Page 1: X-EEED, Allahabad NMD101xeeedgroups.com/downloads/paper.pdf · 2018-11-27 · X-EEED, Allahabad NMD101 jHeâ keâeÙe& nsleg [3] 1. The number of zeroes at the end of the product

X-EEED, Allahabad NMD101

jHeâ keâeÙe& nsleg [1]

Page 2: X-EEED, Allahabad NMD101xeeedgroups.com/downloads/paper.pdf · 2018-11-27 · X-EEED, Allahabad NMD101 jHeâ keâeÙe& nsleg [3] 1. The number of zeroes at the end of the product

X-EEED, Allahabad NMD101

jHeâ keâeÙe& nsleg [2]

Page 3: X-EEED, Allahabad NMD101xeeedgroups.com/downloads/paper.pdf · 2018-11-27 · X-EEED, Allahabad NMD101 jHeâ keâeÙe& nsleg [3] 1. The number of zeroes at the end of the product

X-EEED, Allahabad NMD101

jHeâ keâeÙe& nsleg [3]

1. The number of zeroes at the end of the product of

1002015105 will be -

(A) 18 (B) 20

(C) 22 (D) 24

2. How many composite numbers up to 100 ?

(A) 25 (B) 74

(C) 75 (D) 76

3. Page number of a book starting with 1 and uses 3333 digits

in all. How many folio does the book have?

(A) 444 (B) 555

(C) 1110 (D) 1111

4. 1 liter of water weight 1 kilogram. How many cubic mili

meters of water will weight 0.1 gram?

(A) 0.1 (B) 1

(C) 10 (D) 100

5. If 10000037.07.3 yx , then what is the value of

?y

1

x

1

(A) 1 (B) 2

(C) 2

1 (D)

4

1

6. Find out the remainder when 505650 is divided by 11.

(A) 1 (B) 5

(C) 7 (D) 9

7. How many numbers from 0 to 999 which are neither

divided by 5 nor 9.

(A) 690 (B) 710

(C) 711 (D) 712

8. If third proportion of x & y is n times of mean proportion

then x : y is -

(A) 1:n 23

(B) 3

2n:1

(C) 1:n2 (D)

2n:1

9. Three vessels having volumes in the ratio of 1 : 2 : 3 are

full of a mixture of milk and water. In the first vessel, ratio

of milk and water is 2 : 3, in second 3 : 7 and in third 1 : 4.

If the liquid in all the three vessels were mixed, what is the

ratio of milk and water in new mixture?

(A) 4 : 11 (B) 5 : 7

(C) 7 : 11 (D) 7 : 5

10. Find out average of total factors of 216.

(A) 13.5 (B) 22.5

(C) 37.5 (D) none of these

11. If average of P and 1P is M, then what is the average of

3P and 3P ?

(A)

3

3MM 2 (B)

3M

(C) 3M3 (D) 3M4M 2

12. The total expenditure for a party consists of two parts. One

part remains constant and the second part depends on the

number of the guests. If the expenditure is `650 for 7

guests and ` 970 for 11 guests. Find the expenditure for 18

guests.

(A) ` 1530 (B) ` 1620

(C) ` 1800 (D) ` 2000

13. Average value of 1, 4, 16, 64, -----------------------x22 is-

(A) 1x3

14 1x

(B)

x3

14x

(C)

x3

14x (D)

1x3

14 1x

14. In a village consisting of P person, X% can read & write.

Of the males alone Y% , and of the females alone Z% can

read & write. Find the number of males in the village in

terms of P, X, Y and Z. (if Z<Y)

(A)

ZXY

ZYP

(B)

Z2XY

ZXP

(C) ZX

XYP

(D)

ZY

ZXP

15. If income tax increased by 18% then net income decreased

by 2%. Find out rate of income tax.

(A) 5% (B) 6%

(C) 8% (D) 10%

16. The marked price of an article is 2 times more than the cost

price. A discount given on the marked price of article is

4

3times less than marked price. In this kind of sale, the

seller will find-

(A) 75% profit (B) 125% profit

(C) 225% profit (D) none of these

Page 4: X-EEED, Allahabad NMD101xeeedgroups.com/downloads/paper.pdf · 2018-11-27 · X-EEED, Allahabad NMD101 jHeâ keâeÙe& nsleg [3] 1. The number of zeroes at the end of the product

X-EEED, Allahabad NMD101

jHeâ keâeÙe& nsleg [4]

1. 1002015105 kesâ nue ceW oeefnveer

Deesj MetvÙeeW keâer mebKÙee nesieer -

(A) 18 (B) 20

(C) 22 (D) 24

2. 100 lekeâ efkeâleveer YeepÙe mebKÙeeSBb nw?

(A) 25 (B) 74

(C) 75 (D) 76

3. Skeâ hegmlekeâ keâer he=‰ mebKÙee 1 mes Meg™ nesleer nw~ Fme hegmlekeâ keâer he=‰

mebKÙee efueKeves kesâ efueS kegâue 3333 Debkeâes keâe ØeÙeesie efkeâÙee ieÙee nw~

Fme hegmlekeâ ceW kegâue efkeâleves heVes nQ?

(A) 444 (B) 555

(C) 1110 (D) 1111

4. 1 ueeršj heeveer keâe Yeej 1 efkeâuees«eece nw, lees efkeâleves keäÙetefyekeâ efceueerceeršj

heeveer keâe Yeej 0.1 «eece nesiee?

(A) 0.1 (B) 1

(C) 10 (D) 100

5. Ùeefo 10000037.07.3 yx nes, lees

y

1

x

1 keâe ceeve keäÙee

nesiee?

(A) 1 (B) 2

(C) 2

1 (D)

4

1

6. 505650 keâes 11 mes Yeeie osves hej Mes<eHeâue %eele keâerefpeS~

(A) 1 (B) 5

(C) 7 (D) 9

7. 0 mes 999 lekeâ efkeâleveer mebKÙeeSb nQ pees vee lees 5 mes Deewj ve ner 9 mes

efJeYeepÙe nQ?

(A) 690 (B) 710

(C) 711 (D) 712

8. Ùeefo x Deewj y keâe le=leerÙeevegheele, ceOÙeevegheele keâe n iegvee nw, lees x : y nw-

(A) 1:n 23

(B) 32

n:1

(C) 1:n2 (D)

2n:1

9. leerve yele&veeW keâer OeeefjleeDeeW keâe Devegheele 1 : 2 : 3 nw, leerveeW yele&ve otOe leLee

heeveer kesâ efceßeCe mes Yejs nQ~ henues yele&ve ceW otOe Deewj heeveer keâe Devegheele 2

: 3 nw, otmejs ceW 3 : 7 leLee leermejs ceW 1 : 4 nw~ Ùeefo leerveeW yele&ve kesâ

efceßeCe keâes Deeheme ceW efceuee osb lees veÙes efceßeCe ceW otOe Deewj heeveer keâe

Devegheele keäÙee nesiee?

(A) 4 : 11 (B) 5 : 7

(C) 7 : 11 (D) 7 : 5

10. 216 kesâ meYeer DeheJele&keâesb keâe Deewmele %eele keâjW~

(A) 13.5 (B) 22.5

(C) 37.5 (D) FveceW mes keâesF& veneR

11. Ùeefo P leLee 1P keâe Deewmele M nw, lees

3P leLee 3P keâe Deewmele

keäÙee nesiee?

(A)

3

3MM 2 (B)

3M

(C) 3M3 (D) 3M4M 2

12. efkeâmeer heešea ceW nesves Jeeuee KeÛe& oes YeeieeW ceW nw~ Skeâ Yeeie keâe KeÛe& meowJe

efmLej jnlee nw, peyekeâer otmejs Yeeie keâe KeÛe& heešea ceW Deeves Jeeues meomÙeeW

keâer mebKÙee hej efveYe&j keâjlee nw~ Ùeefo heešea ceW 7 meomÙe nQ, lees heešea keâe

KeÛe& `650 nw Deewj Ùeefo heešea ceW 11 meomÙe nQ, lees heešea keâe KeÛe& `

970 nw~ Ùeefo heešea ceW 18 meomÙe nebs, lees heešea keâe KeÛe& nesiee -

(A) ` 1530 (B) ` 1620

(C) ` 1800 (D) ` 2000

13. 1, 4, 16, 64, -----------------------x22 keâe Deewmele ceeve nw-

(A) 1x3

14 1x

(B)

x3

14x

(C)

x3

14x (D)

1x3

14 1x

14. Skeâ iee@@Je keâer pevemebKÙee P nw, efpemeceW mes X% heÌ{-efueKe mekeâles nQ~

heg™<eeW keâer mebKÙee keâe kesâJeue Y% heÌ{ efueKe mekeâles nQ, peyeefkeâ ceefnueeDeeW

keâer mebKÙee keâe kesâJeue Z% heÌ{-efueKe mekeâlee nw, lees ieeBJe ceW heg™<eeW keâer

mebKÙee P, X, Y Deewj Z kesâ heoeW ceW %eele keâjW ~ (Ùeefo Z<Y)

(A)

ZXY

ZYP

(B)

Z2XY

ZXP

(C) ZX

XYP

(D)

ZY

ZXP

15. Ùeefo DeeÙekeâj 18% yeÌ{ peeS, lees vesš DeeÙe 2% keâce nes peeleer nw~

DeeÙekeâj keâer oj-ØeefleMele %eele keâerefpeS~

(A) 5% (B) 6%

(C) 8% (D) 10%

16. Skeâ Jemleg keâe Debefkeâle cetuÙe Gmekesâ ›eâÙe cetuÙe mes oes iegvee DeefOekeâ nw~ Gme

Jemleg hej efoÙee ieÙee yeóe Gmekesâ Debefkeâle cetuÙe mes

4

3 iegvee keâce nw, lees

Fme efJe›eâer hej efJe›esâlee keâes nesiee -

(A) 75% ueeYe (B) 125% ueeYe

(C) 225% ueeYe (D) FveceW mes keâesF& veneR

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X-EEED, Allahabad NMD101

jHeâ keâeÙe& nsleg [5]

17. A and B can do a piece of work in 12 days, B & C can do

it in 16 days. A worked at it for 3 days and B for 5 days

after that the remaining work was done by C alone in 17

days. Then find out, how much days shall B take to

complete the work alone?

(A) 24 days (B) 48 days

(C) 60 days (D) 72 days

18. Excluding stoppages the average speed of a bus is 60

km./hour and including stoppages, it is 42 km./hour. For

how many minutes does the bus stop per hour?

(A) 12 minute (B) 15 minute

(C) 18 minute (D) 20 minute

19. Two persons Rajeev and Sanjeev are walking around a

circular track of length 1800 meter at speed of 40

meter/minute and 50 meter/minute respectively. Both of

them start in the same direction and at the same time but B

reverses his direction every time he completes one full

round what is the time taken by them from the start to meet

for the first time?

(A) 36 minute (B) 40 minute

(C) 45 minute (D) 56 minute

20. A daily-wage labourer was engaged for a certain number

of days for ` 5750, but being absent on some of those days

he was paid only ` 5000, what was his maximum possible

daily-wage ?

(A) ` 125 (B) ` 250

(C) ` 375 (D) ` 500

21. A cat takes 5 leaps for every 4 leaps of a dag, but 3 leaps

of the dog are equal to 4 leaps of the cat. what is the ratio

of the speed of the cat to that of the dog?

(A) 11 : 15 (B) 15 : 11

(C) 16 : 15 (D) 15 : 16

22. P, Q, R and S are four distinct positive integers 1 P is

factor of R and Q is factor of S. What is H.C.F. and L.C.M.

of Q

P and

S

R

?

(A) Q

P,

S

R (B)

S

P,

Q

R

(C) R

P,

S

Q (D)

Q

R,

S

P

23. A salesman allowed %2

15 discount on the total sales

made by him plus a bonus of %2

1

on sale over ` 10000. If

his total earnings were ` 1990 his total sales in rupees

was?

(A) ` 30000 (B) ` 32000

(C) ` 34000 (D) ` 35000

24. How many distinct prime factors does

77553322 7532 .

(A) 77553322

(B) 77553322

(C) 177155133122

(D) none of these

25. A car travells from A to B at V1 km./hour travels back

from B to A at V2 km./hour and again goes back from A to

B at V2 km./hour the average speed of the car is-

(A) 21

21

V2V

VV2

km./hour

(B) 12

21

V2V

VV2

km./hour

(C) 12

21

V2V

VV3

km./hour

(D) 21

21

V2V

VV3

km./hour

26. A tank has a leak which would empty the completely filled

tank in 10 hours. If the tank is full of water and a tap is

opened which admits 4

1liter of water per second in the

tank, the leak takes 15 hours to empty the tank. How many

liter of water does the tank hold?

(A) 24000 liters (B) 45000 liters

(C) 27000 liters (D) 72000 liters

27. Carpenter A take 6 hours to make a chair, carpenter B take

7 hours to make a chair & carpenter C take 8 hours to

make a chairs if everyone does work 8 hours per day then

how many chairs they will make in 21 days?

(A) 61 (B) 67

(C) 73 (D) 79

28. A cube of edge Y is converted to a cuboid in such a way

that there concurrent edges are in the ratio 1 : 2 : 4 and the

shorter edge is X. What is the ratio of surface area of the

cuboid to that of the cube?

(A) 6

7 (B)

12

7

(C) 10

11 (D)

11

10

29. There are some benches in a classroom. If 8 students sit on

each bench, then 2 benches are left unoccupied. However

if 6 students sit on each bench, 18 students are left

standing. How many students are there in the class?

(A) 72 (B) 120

(C) 180 (D) none of these

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X-EEED, Allahabad NMD101

jHeâ keâeÙe& nsleg [6]

17. A Deewj B efceuekeâj Skeâ keâece 12 efove ceW keâj mekeâles nw, B Deewj C

efceuekeâj Gmeer keâece keâes 16 efove ceW keâj mekeâles nw~ A Éeje Gme hej 3

efove leLee B Éeje Gme hej 5 efove keâece keâjves kesâ yeeo C vess Mes<e keâece keâes

17 efove ceW hetje keâj efoÙee lees yeleeFS B Dekesâuee Gme keâece keâes efkeâleves

efove ceW hetje keâj mekeâlee nw?

(A) 24 efove (B) 48 efove

(C) 60 efove (D) 72 efove

18. Skeâ yeme peye efkeâmeer otjer keâes efyevee ®kesâ leÙe keâjleer nw, lees Gmekeâer Deewmele

Ûeeue 60 efkeâceer0/IeCše nesleer nw, uesefkeâve peye yeme ®keâleer ngF& peeleer nw,

lees Gmekeâer Deewmele Ûeeue 42 efkeâceer0/IeCše nesleer nw~ yeme Øeefle IeCše

efkeâleves efceveš kesâ efueS ®keâleer nw?

(A) 12 efceveš (B) 15 efceveš

(C) 18 efceveš (D) 20 efceveš

19. jepeerJe Deewj mebpeerJe 1800 ceeršj uecyes Je=òeekeâej ceeie& hej ›eâceMe: 40

ceeršj/efceveš leLee 50 ceeršj/efceveš keâer Ûeeue mes Ûeueles nbw~ Jes oesveeW Skeâ

ner efyevog mes Skeâ ner efoMee ceW Skeâ ner meceÙe hej Ûeuevee ØeejcYe keâjles nQ~

uesefkeâve mebpeerJe ØelÙeskeâ Ûekeäkeâj kesâ yeeo Deheveer efoMee keâes yeoue oslee nw~

lees efkeâleves meceÙe yeeo Jes oesveeW Skeâ otmejs mes henueer yeej efceueWies?

(A) 36 efceveš (B) 40 efceveš

(C) 45 efceveš (D) 56 efceveš

20. efkeâmeer owefvekeâ Jesleve Yeesieer cepeotj keâes kegâÚ efveef§ele efoveeW kesâ efueS ` 5750

efoÙee peelee nw, efkeâvleg Jen Fve efveef§ele efoveeW ceW ner kegâÚ efove DevegheefmLele

Lee Dele: Gmes cee$e ` 5000 ner efoÙee ieÙee Gme JÙeefòeâ keâe DeefOekeâlece

owefvekeâ Jesleve efkeâlevee Lee?

(A) ` 125 (B) ` 250

(C) ` 375 (D) ` 500

21. efpeleves meceÙe ceW Skeâ efyeuueer 5 Úueebie ueieeleer nw Gleves meceÙe ceW Skeâ

kegâòee 4 Úueebie ueieelee nw, efkeâvleg kegâòes keâer 3 Úueebie, efyeuueer kesâ 4

Úueebie kesâ yejeyej nw, lees efyeuueer leLee kegâòes keâer Ûeeue keâe Devegheele keäÙee

nw?

(A) 11 : 15 (B) 15 : 11

(C) 16 : 15 (D) 15 : 16

22. P, Q, R leLee S Ûeej Deueie Deueie Oeveelcekeâ hetCeeËkeâ 1 nQ~ R

keâe iegCeveKeC[ P leLee S keâe iegCeveKeC[ Q nw, lees

Q

P Deewj

S

Rkeâe

ce0me0 leLee ue0me0 keäÙee nesiee?

(A) Q

P,

S

R (B)

S

P,

Q

R

(C) R

P,

S

Q (D)

Q

R,

S

P

23. efkeâmeer mesume cewve keâes kegâue efJe›eâer hej %2

15 keâer Útš oer peeleer nw Fmekesâ

DeueeJee ` 10000 mes DeefOekeâ keâer efJe›eâer hej %2

1 keâe Deefleefjòeâ yeesveme

Yeer efoÙee peelee nw~ Ùeefo mesumecewve keâes kegâue efJe›eâer hej ` 1990 keâe ueeYe

ngDee nes, lees kegâue efkeâleves ™heÙes keâer efJe›eâer ngF&?

(A) ` 30000 (B) ` 32000

(C) ` 34000 (D) ` 35000

24. 77553322 7532 kesâ kegâue efkeâleves efYevve-efYevve DeYeepÙe

iegCeveKeC[ neWies -

(A) 77553322 (B) 77553322

(C) 177155133122

(D) FveceW mes keâesF& veneR

25. Skeâ keâej A mes B lekeâ V1 efkeâueesceeršj Øeefle IeCše keâer Ûeeue mes peeleer nw

leLee B mes A lekeâ Jeeheme V2 efkeâueesceeršj Øeefle IeCše keâer Ûeeue mes Deeleer nw

hegve: A mes B lekeâ V2 efkeâueesceeršj Øeefle IeCše keâer Ûeeue mes peeleer nw, lees

keâej keâer Deewmele Ûeeue nw-

(A) 21

21

V2V

VV2

efkeâceer0/IeCše (B)

12

21

V2V

VV2

efkeâceer0/IeCše

(C) 12

21

V2V

VV3

efkeâceer0/IeCše (D)

21

21

V2V

VV3

efkeâceer0/IeCše

26. Skeâ šbkeâer keâer leueer ceW Skeâ Úso nw, efpemekesâ keâejCe heeveer mes hetjer Yejer

šbkeâer 10 IeCšs ceW Keeueer nes peeleer nw~ Ùeefo šbkeâer heeveer mes hetjer Yejer nes

meeLe ner

4

1 ueeršj Øeefle meskesâC[ keâer jHeäleej mes šbkeâer ceW Yejves Jeeuee Skeâ

veue Yeer Ûeeuet keâj efoÙee peeÙe lees Úso Éeje šbkeâer keâes Keeueer keâjves ceW 15

IeCšs keâe meceÙe ueielee nw šbkeâer ceW efkeâleves ueeršj heeveer Yeje pee mekeâlee

nw?

(A) 24000 ueeršj (B) 45000 ueeršj

(C) 27000 ueeršj (D) 72000 ueeršj

27. yeÌ{F& A Skeâ kegâmeea 6 IeCšs ceW, yeÌ{F& B Skeâ kegâmeea 7 IeCšs ceW Deewj

yeÌ{F& C Skeâ kegâmeea 8 IeCšW ceW yeveelee nw~ Ùeefo ØelÙeskeâ yeÌ{F& Øeefleefove 8

IeCšs keâece keâjW lees 21 efove ceW efkeâleveer kegâefme&ÙeeB yeveWieer?

(A) 61 (B) 67

(C) 73 (D) 79

28. Y keâesj Jeeues efkeâmeer Ieve keâes IeveeYe ceW Fme Øekeâej yeoue efoÙee peelee nw

efkeâ IeveeYe kesâ keâesjeW keâer uecyeeF& keâe Devegheele 1 : 2 : 4 nw Deewj meyemes

Úesšs keâesj keâer uecyeeF& X nw lees IeveeYe SJeb Ieve kesâ he=‰rÙe #es$eheâue keâe

Devegheele keäÙee nesiee?

(A) 6

7 (B)

12

7

(C) 10

11 (D)

11

10

29. Skeâ keâ#ee ceW efveef§ele mebKÙee ceW yeWÛe nbw~ Ùeefo ØelÙeskeâ yeWÛe hej 8 efJeÅeeLeea

yew"les nw lees 2 yeWÛe Keeueer jn peeleer nw Deewj Ùeefo ØelÙeskeâ yeWÛe hej 6

efJeÅeeLeea yew"les nwb lees 18 efJeÅeeLeea KeÌ[s jn peeles nwb~ keâ#ee ceW kegâue efkeâleves

efJeÅeeLeea nQ?

(A) 72 (B) 120

(C) 180 (D) FveceW mes keâesF& veneR

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X-EEED, Allahabad NMD101

jHeâ keâeÙe& nsleg [7]

30. A part of `38800 is lent out at 6% per six months. The rest

of the amount is lent out at 5% per annual after one year.

The ratio of interest after three years from the time when

first amount was lent out is 5 : 4. Find the second part that

was lent out at 5%.

(A) ` 26600 (B) ` 28800

(C) ` 27500 (D) ` 28000

31. If P be the principal amount and the rate of compound

interest be R% per annual and the compound interest is

calculated K times in a year, then what is the compound

interest at the end of N years?

(A) 1K100

R1P

NK

(B) 1

100

RK1P

NK

(C)

1

K100

R1P

NK

(D)

1

100

RK1P

K

N

32. In a stream, B lies in between A and C such that it is

equidistant from both A and C. A boat can go from A to B

and Back in 6 hours 30 minute while it goes from A to C in

9 hours. How long would it take to go from C to A?

(A) 3.75 hours (B) 4 hours

(C) 4.25 hour (D) 4.5 hours

33. Which of the following must be true?

(A) If x varies directly with y , then 2x varies directly

with y.

(B) If x varies inversely with y , then y varies

inversely with x .

(C) both (A) and (B)

(D) neither (A) nor (B)

34. A square of side x is taken. A rectangle is cut out from this

square such that one side of the rectangle is half that of the

square and the other is 3

1

the first side of the rectangle.

What is the area of the remaining portion of square?

(A) 2x

4

3

(B)

2x8

7

(C) 2x

12

11

(D)

2x16

15

35. Seven semi-circular areas are removed from the rectangle

ABCD as shown in the figure, in which AB=2 cm., AD =

0.5 cm., The radius of each semi-circle r, s, t, u, v is half of

that of semi-circle p or q. What is the area of the remaining

portion?

(A) 2cm12813128 (B) 2cm12513125

(C) 2cm12815128 (D) none of these

36. If

th

4

12

13

11

54

part of a journey takes 10 minutes,

then to complete

th

5

3of that journey it will take-

(A) 40 minutes (B) 45 minutes

(C) 48 minutes (D) 36 minutes

37. 8 litres are drawn from a cask full of wine and then is filled

with 8 litres water. This operation is performed three more

times. The ratio of the quantity of wine now left in cask to

that of the water is 16 : 65. How much wine did the cask

originally hold?

(A) 30 litres (B) 26 litres

(C) 24 litres (D) 32 litres

38. Water flows through a cylindrical pipe of diameter 5 mm

at the rate of 10 meter per minute and falls into a conical

vessel having 40 cm as the diameter of its base and 24 cm

as its height. How long will it take to fill the vessel?

(A) 48 minute 15 second (B) 51 minute 12 second

(C) 52 minute 1 second (D) 55 minute

39. Two circles with centre A and B and radius 2 units touch

each other externally at C. Third circle with centre C and

radius 2 units, cut other two at D and E respectively . Then

the area of the quadrilateral ABED is -

(A) units.sq22 (B) units.sq33

(C) units.sq23 (D) units.sq32

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30. ` 38800 kesâ ØeLece Yeeie keâes 6% Ú:ceener keâer meeOeejCe yÙeepe keâer oj

hej GOeej efoÙee ieÙee SJeb otmejs Yeeie keâes Skeâ Je<e& yeeo 5% Jeeef<e&keâ

meeOeejCe yÙeepe hej GOeej efoÙee peelee nw~ peye henues Yeeie keâes GOeej efoÙee

ieÙee Lee leye mes leerve Je<e& yeeo oesveeW kesâ meeOeejCe yÙeepe keâe Devegheele 5 :

4 nw, lees yeleeFS 5% keâer oj hej efkeâlevee Oeve efoÙee ieÙee Lee?

(A) ` 26600 (B) ` 28800

(C) ` 27500 (D) ` 28000

31. Ùeefo P cetueOeve nw leLee Ûe›eâJe=efæ yÙeepe keâer oj R% Jeeef<e&keâ nw Deewj

Ûe›eâJe=efæ yÙeepe Skeâ Je<e& ceW K yeej peesÌ[e peelee nw~ lees N Je<eeX keâe yÙeepe

nesiee-

(A) 1K100

R1P

NK

(B) 1

100

RK1P

NK

(C)

1

K100

R1P

NK

(D)

1

100

RK1P

K

N

32. Skeâ Oeeje ceW B, A leLee C kesâ yeerÛe Fme Øekeâej nw efkeâ Jen A leLee C mes

yejeyej otjer hej nw~ Skeâ veeJe A mes B lekeâ leLee Jeeheme B mes A lekeâ

keâer otjer kegâue 6 IeCšs 30 efceveš ceW leÙe keâjleer nw, peyeefkeâ Jen A mes C

lekeâ keâer otjer 9 IeCšs ceW leÙe keâjleer nw, leye C mes A lekeâ keâer otjer leÙe

keâjves ceW Gmes efkeâlevee meceÙe ueiesiee~

(A) 3.75 IeCšs (B) 4 IeCšs

(C) 4.25 IeCšs (D) 4.5 IeCšs

33. efvecveefueefKele ceW mes keâewve-mee efveef§ele ™he mes melÙe nw?

(A) Ùeefo x, y kesâ Deveg›eâceevegheeleer nw, lees

2x , y kesâ Deveg›eâceevegheeleer

nesiee~

(B) Ùeefo x , y kesâ JÙegl›eâceevegheeleer nw, lees y , x kesâ

JÙegl›eâceevegheeleer nesiee~

(C) (A) Deewj (B) oesveeW melÙe nw~

(D) ve lees (A) Deewj ve ner (B) melÙe nw~

34. x Yegpee Jeeues Jeie& mes Skeâ DeeÙele Fme Øekeâej keâeše peelee nw efkeâ DeeÙele

keâer Skeâ Yegpee, Jeie& keâer Yegpee keâer DeeOeer nw SJeb otmejer Yegpee henueer Yegpee

keâer

3

1 nw~ Jeie& kesâ Mes<e Yeeie keâe #es$eHeâue efkeâlevee nw?

(A) 2x

4

3

(B)

2x8

7

(C) 2x

12

11

(D)

2x16

15

35. DeeÙele ABCD mes meele Deæ&Je=òeekeâej Yeeie keâešs ieS nQ pewmes efÛe$e ceW

efoKeeÙee ieÙee nw~ AB = 2 mesceer0 Deewj AD = 0.5 mesceer0 ØelÙeskeâ

Deæ&Je=òe r, s, t, u Deewj v keâer ef$epÙee p Deewj q mes DeeOeer nw yeÛes ngS

efnmmes keâe #es$eHeâue %eele keâjes?

(A) 12813128 Jeie& mesceer0

(B) 12513125 Jeie& mesceer0

(C) 12815128 Jeie& mesceer0

(D) FveceW mes keâesF& veneR

36. Ùeefo Skeâ Ùee$ee keâe

4

12

13

11

54 JeW Yeeie leÙe keâjves ceW ome

efceveš ueielee nw, lees Gmeer Ùee$ee keâe

5

3 JeW Yeeie keâes leÙe keâjves ceW efkeâlevee

meceÙe ueiesiee?

(A) 40 efceveš (B) 45 efceveš

(C) 48 efceveš (D) 36 efceveš

37. Skeâ keâvemlej Mejeye mes Yeje Lee, FmeceW mes 8 ueeršj Mejeye efvekeâeuekeâj

Keeueer yeÛes Yeeie ceW 8 ueeršj heeveer Yej efoÙee ieÙee~ Ùen Øeef›eâÙee leerve yeej

Deewj oesnjeF& ieF&~ Devle ceW Øeehle Ieesue ceW Mejeye leLee heeveer keâe Devegheele

16 : 65 jn ieÙee~ ØeejcYe cesb keâvemlej ceW efkeâleveer Mejeye Leer~

(A) 30 ueeršj (B) 26 ueeršj

(C) 24 ueeršj (D) 32 ueeršj

38. 5 efceceer. JÙeeme kesâ Skeâ yesueveekeâej heeFhe Éeje heeveer 10 ceeršj Øeefle efceveš

keâer ieefle mes yenkeâj Skeâ MebkeäJeekeâej yele&ve ceW efiejlee nw, efpemekesâ DeeOeej keâe

JÙeeme 40 mesceer. leLee TBÛeeF& 24 mesceer. nw~ efkeâleveer osj ceW Ùen yele&ve heeveer

mes Yej peeÙesiee?

(A) 48 efceveš 15 meskesâC[ (B) 51 efceveš 12 meskesâC[

(C) 52 efceveš 1 meskesâC[ (D) 55 efceveš

39. 2 FkeâeF& ef$epÙee Jeeues oes Je=òeeW keâe kesâvõ A leLee B nw leLee Jes efyebog C

hej yee¢e mheMe& keâjles nQ~ Skeâ C kesâvõ leLee 2 Ùetefveš ef$epÙee Jeeuee leermeje

Je=òe oesveeW Je=òeeW keâes ›eâceMe: efyevog D leLee E hej keâešlee nw~ ÛelegYeg&pe

ABED keâe #es$eHeâue %eele keâjW?

(A) 22 Jeie& FkeâeF& (B) 33 Jeie& FkeâeF&

(C) 23 Jeie& FkeâeF& (D) 32 Jeie& FkeâeF&

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40. A right circular cylinder is partially filled with water. Two

iron spherical balls are completely immersed in the water

so that the height of the water in the cylinder rises by 4 cm.

If the radius of one ball is half of the other and the

diameter of the cylinder is 18 cm. then the radii of the

spherical balls are -

(A) 6 cm. and 12 cm. (B) 4 cm. and 8 cm.

(C) 3 cm. and 6 cm. (D) 2 cm. and 4 cm.

41. Three partners invested `42000, `48000 and `32000

respectively. Partnership condition is that, each will the get

interest on his capital at the rate of 7% per annum and the

remaining profit will be divided in the ratio of their

capitals. If at the end of the year the total profit is `32940.

Then find the share of A in profit?

(A) ` 12960 (B) ` 11340

(C) ` 8640 (D) none of these

42. How many pair of positive integers whose difference of

square is 45.

(A) 3 (B) 4

(C) 5 (D) none of these

43. For the integer n if 4n is odd, then which of the following

statement are true?

(I) n+n2 is odd

(II) n+n3 is even

(III) n3+n

2 is even

(A) only I & II (B) only II

(C) only I & III (D) only II & III

44. What is the value of 3

1

113 1y11

?

(A) y (B) y

(C) y

1 (D)

y

1

45. A car travelling with 7

5of its usual speed covers 42 Km.

in 1 hour 40 minute 48 second. What is the usual speed of

the car?

(A) 7

617 km./hour (B) 35 km./hour

(C) 25 km./hour (D) 30 km./hour

46. Find the value of

4

44

44

44

4

(A) 2 (B) 4

(C) 8 (D)

47. Arrange the following in ascending order.

333333333 333S,3R,33Q,3P

(A) PQRS (B) PRQS

(C) QRPS (D) SQPR

48. The difference between the compound and the simple

interest on a sum of 2 years at 10% per annum, when the

interest is compounded annually is ` 28. If the yearly

interest were compounded half-yearly, the difference in the

two interest will be ?

(A) ` 44 (B) ` 28.35

(C) ` 43.41 (D) ` 43.29

49. The population of a city is 200000. If the annual birth rate

and the annual death rate are 6% and 3% respectively, then

calculate the population of the city after 2 years.

(A) 212090 (B) 206090

(C) 212000 (D) 212180

50. A square and rhombus are on the same base. The ratio of

area will be-

(A) equal to 1 (B) less than 1

(C) more than 1 (D) can not find

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40. Skeâ uecye Je=òeerÙe yesueve DeebefMekeâ ™he mes heeveer mes Yeje nw~ ueesns keâer oes

ieesuekeâ yee@ue hetjer lejn mes heeveer ceW [tyeer ngF& nwb~ efpememes yesueve ceW heeveer

keâer TBÛeeF& 4 mesceer0 yeÌ{ peeleer nw~ Ùeefo Skeâ ieesuekeâ yee@ue keâer ef$epÙee

otmejer keâer DeeOeer nes Deewj yesueve keâe JÙeeme 18 mesceer0 nes, lees ieesuekeâeW keâer

ef$epÙee yeleeFS?

(A) 6 mesceer0 Deewj 12 mesceer0 (B) 4 mesceer0 Deewj 8 mesceer0

(C) 3 mesceer0 Deewj 6 mesceer0 (D) 2 mesceer0 Deewj 4 mesceer0

41. efkeâmeer JÙeeheej ceW leerve meePesoej A, B leLee C ›eâceMe: `42000,

`48000 leLee `32000 efveJesMe keâjles nQ~ meePesoejer keâer Mele& Ùen nw efkeâ

ØelÙeskeâ Deheveer hetBpeer hej 7% Jeeef<e&keâ oj mes yÙeepe uesiee pees ueeYe ceW mes

ner efoÙee peeSiee leLee Mes<e ueeYe, Jes efveJesefMele hetBpeer kesâ Devegheele ceW

yeeBšsieW~ Ùeefo Skeâ Je<e& kesâ Devle ceW kegâue `32940 keâe ueeYe ngDee nes, lees

GmeceW mes A keâe efnmmee keäÙee nesiee?

(A) ` 12960 (B) ` 11340

(C) ` 8640 (D) FveceW mes keâesF& veneR

42. Oeve hetCeeËkeâeWb kesâ ÙegiceeW keâer mebKÙee efpevekesâ JeieeX keâe Devlej 45 nw~

(A) 3 (B) 4

(C) 5 (D) FveceW mes keâesF& veneR~

43. efkeâmeer hetCeeËkeâ n kesâ efueS, Ùeefo n4 efJe<ece nw lees keâewve-mee keâLeve melÙe

nw?

(I) n+n2 efJe<ece nw~

(II) n+n3 mece nw~

(III) n3+n

2 mece nw~

(A) kesâJeue I Deewj II (B) kesâJeue II

(C) kesâJeue I Deewj III (D) kesâJeue II Deewj III

44. 3

1

113 1y11

keâe ceeve nw

(A) y (B) y

(C) y

1 (D)

y

1

45. Skeâ keâej Deheveer meeceevÙe Ûeeue kesâ

7

5 Yeeie mes Ûeueles ngS 42

efkeâueesceeršj keâer otjer leÙe keâjves ceW 1 IeCše 40 efceveš 48 meskesâC[ keâe

meceÙe uesleer nw~ keâej keâer meeceevÙe Ûeeue yeeleeFS?

(A) 7

617 efkeâueesceeršj /IeCše (B) 35 efkeâueesceeršj /IeCše

(C) 25 efkeâueesceeršj /IeCše (D) 30 efkeâueesceeršj /IeCše

46.

4

44

44

44

4 keâe ceeve nesiee -

(A) 2 (B) 4

(C) 8 (D)

47. efvecve keâes Deejesner ›eâce ceW JÙeJeefmLele keâerefpeS~

333333333 333S,3R,33Q,3P

(A) PQRS (B) PRQS

(C) QRPS (D) SQPR

48. Ùeefo yÙeepe Jeeef<e&keâ mebÙeesefpele nes, lees efkeâmeer OevejeefMe hej 10 ØeefleMele

Jeeef<e&keâ oj mes 2 Je<eeX keâe Ûe›eâJe=efæ yÙeepe leLee meeOeejCe yÙeepe keâe Devlej

` 28 nw~ Ùeefo Jeeef<e&keâ yÙeepe oj Ú:ceener nes, lees oesveeW lejn kesâ yÙeepeeW ceW

efkeâlevee Devlej nesiee?

(A) ` 44 (B) ` 28.35

(C) ` 43.41 (D) ` 43.29

49. efkeâmeer Menj keâer pevemebKÙee 200000 nw ~ Ùeefo Jeeef<e&keâ pevce oj SJeb

ce=lÙeg oj ›eâceMe: 6% SJeb 3% nes, leye 2 Je<e& yeeo Menj keâer pevemebKÙee

keâer ieCevee keâerefpeS~

(A) 212090 (B) 206090

(C) 212000 (D) 212180

50. Skeâ Jeie& Deewj Skeâ meceÛelegYeg&pe Skeâ ner DeeOeej hej yeves nQ~ Fvekesâ

#es$eHeâue keâe Devegheele nesiee -

(A) 1 kesâ yejeyej (B) 1 mes keâce

(C) 1 mes DeefOekeâ (D) %eele veneR efkeâÙee pee mekeâlee~

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